Find the limit lim_{urightarrow1}frac{u^4-1}{u^3-1}

shadsiei 2020-12-16 Answered
Find the limit
limu1u41u31
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Dora
Answered 2020-12-17 Author has 98 answers
Given,
limu1u41u31
On simplification, we get
limu1u41u31=limu1(u2)212u313
=limu1(u21)(u2+1)(u1)(u2+u+1)
[a2b2=(ab)(a+b)a3b3=(ab)(a2+ab+b2)]
=limu1(u1)(u+1)(u2+1)(u1)(u2+u+1)
=limu1(u+1)(u2+1)(u2+u+1)
=limu1(1+1)(12+1)(12+1+1)
=43
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more